Base | Representation |
---|---|
bin | 110100101011110101… |
… | …0110110010100000000 |
3 | 101211000220212111121101 |
4 | 1221113222312110000 |
5 | 3323202320000000 |
6 | 123550434504144 |
7 | 11113500063256 |
oct | 1512752662400 |
9 | 354026774541 |
10 | 113140000000 |
11 | 43a89642635 |
12 | 19b16435054 |
13 | a890bbb781 |
14 | 56942305d6 |
15 | 2e22ae2e6a |
hex | 1a57ab6500 |
113140000000 has 144 divisors (see below), whose sum is σ = 282346738128. Its totient is φ = 45248000000.
The previous prime is 113139999977. The next prime is 113140000007. The reversal of 113140000000 is 41311.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 62956831744 + 50183168256 = 250912^2 + 224016^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (113140000007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19997172 + ... + 20002828.
It is an arithmetic number, because the mean of its divisors is an integer number (1960741237).
Almost surely, 2113140000000 is an apocalyptic number.
113140000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 113140000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141173369064).
113140000000 is an abundant number, since it is smaller than the sum of its proper divisors (169206738128).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
113140000000 is an frugal number, since it uses more digits than its factorization.
113140000000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5708 (or 5664 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
Adding to 113140000000 its reverse (41311), we get a palindrome (113140041311).
The spelling of 113140000000 in words is "one hundred thirteen billion, one hundred forty million", and thus it is an aban number.
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